THIS IS FALSE. The reaction in a glow stick is an oxidation reaction where the dye transforms the chemical energy from the reaction (2H2O2 into 2H2O + O2 which will react with something else) into light. The dyes that they use in glow sticks and any liquids that glow are VERY specialized and not found in pretty much anything else (if you are curious the dye is generally TCPO AKA (bis 2,4,6, Trichlorophenyl)oxalate)

Your welcome to try if you would like but the energy from any reaction that took place in the bottle will be heat. For light to be produced you always need a chemo-luminescent dye (or a gamma emiting radioctive substance) which to my knowledge they do not put in Mountain Dew (but if they wanted to put in TCPO they could, it's nontoxic but the only reason they would do that is for the reaction above to happen)